3 papers
math.DG2022
Limits of manifolds with a Kato bound on the Ricci curvature. II
Gilles Carron, Ilaria Mondello, David Tewodrose
We prove that metric measure spaces obtained as limits of closed Riemannian manifolds with Ricci curvature satisfying a uniform Kato bound are rectifiable. In the case of a non-col…
math.DG2019
Non-existence of Yamabe minimizers on singular spheres
Kazuo Akutagawa, Ilaria Mondello
We prove that a minimizer of the Yamabe functional does not exist for a sphere of dimension , endowed with a standard edge-cone spherical metric of cone an…
math.DG2018
Stratified spaces and synthetic Ricci curvature bounds
J. Bertrand, C Ketterer, Ilaria Mondello +1
We prove that a compact stratied space satises the Riemannian curvature-dimension condition RCD(K, N) if and only if its Ricci tensor is bounded below by K R on the regular s…